On the stationary compressible Stokes equations

(CMI, Marseille)

Abstract. A way to prove the existence of a solution for thestationary compressible Stokes equations with a quite general Equation of State is presented.The main interest of the methodis that it can be adapted to prove the convergence (as the discretization parametergoes to zero) of an approximated solution given by a convenient numerical scheme.Generalizations to the Navier-Stokes equations and to the evolution equations are alsogiven.